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Flag-transitive point-primitive automorphism groups of non-symmetric 2-(v, k, 3) designs

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Abstract

In this paper, we show that if \({\mathcal {D}}\) is a non-trivial non-symmetric 2-(v, k, 3) design admitting a flag-transitive point-primitive automorphism group G, then G must be an affine or almost simple group.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China (Grant No. 11471123).

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Authors and Affiliations

  1. School of Mathematics, South China University of Technology, Guangzhou, 510640, People’s Republic of China

    Hongxue Liang & Shenglin Zhou

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  1. Hongxue Liang
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  2. Shenglin Zhou
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Correspondence to Shenglin Zhou.

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Communicated by L. Teirlinck.

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Liang, H., Zhou, S. Flag-transitive point-primitive automorphism groups of non-symmetric 2-(v, k, 3) designs. Des. Codes Cryptogr. 86, 1757–1766 (2018). https://doi.org/10.1007/s10623-017-0422-9

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  • DOI: https://doi.org/10.1007/s10623-017-0422-9

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